# Generalized Gaussian Multiterminal Source Coding in the High-Resolution Regime

## TL;DR

This paper proposes a conjectural formula for the asymptotic rate gap in generalized Gaussian multiterminal source coding and verifies it for systems with up to three sources in high-resolution settings.

## Contribution

It introduces a conjecture for the high-resolution asymptotic gap and confirms its validity for small numbers of sources.

## Key findings

- Conjectural expression matches known cases for up to three sources.
- Provides insights into the asymptotic behavior of multiterminal source coding.
- Lays groundwork for future proofs of the conjecture.

## Abstract

A conjectural expression of the asymptotic gap between the rate-distortion function of an arbitrary generalized Gaussian multiterminal source coding system and that of its centralized counterpart in the high-resolution regime is proposed. The validity of this expression is verified when the number of sources is no more than 3.